most of us have gotten used to seeing the managers yank the pitchers one or two batters too late.

I'm not sure, but isn't this some sort of confirmation bias thing? Like, no one ever remembers when a pitcher is yanked right before he would have thrown a meatball that homered to left-center. Because he didn't throw the pitch if he got yanked.

Also, the times when a starter is left in too long form definite events (blowing a lead) that tend to stick in our head, while a 5.2-inning start might be more easily forgotten?